10021001085737 has 2 divisors, whose sum is σ = 10021001085738. Its totient is φ = 10021001085736.

The previous prime is 10021001085721. The next prime is 10021001085743. The reversal of 10021001085737 is 73758010012001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7941259264576 + 2079741821161 = 2818024^2 + 1442131^2 .

It is a cyclic number.

It is not a de Polignac number, because 10021001085737 - 2⁴ = 10021001085721 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10021001085697 and 10021001085706.

It is not a weakly prime, because it can be changed into another prime (10021001087737) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010500542868 + 5010500542869.

It is an arithmetic number, because the mean of its divisors is an integer number (5010500542869).

Almost surely, 2^{10021001085737} is an apocalyptic number.

It is an amenable number.

10021001085737 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021001085737 is an equidigital number, since it uses as much as digits as its factorization.

10021001085737 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11760, while the sum is 35.

Adding to 10021001085737 its reverse (73758010012001), we get a palindrome (83779011097738).

The spelling of 10021001085737 in words is "ten trillion, twenty-one billion, one million, eighty-five thousand, seven hundred thirty-seven".